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| rdfs | http://www.w3.org/2000/01/rdf-schema# |
| rdf | http://www.w3.org/1999/02/22-rdf-syntax-ns# |
| xsdh | http://www.w3.org/2001/XMLSchema# |
| dbpedia | http://dbpedia.org/resource/ |
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- dbpedia:Elliptic_function
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In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions. Just as a periodic function of a real variable is defined by its values on an interval, an elliptic function is determined by its values on a fundamental parallelogram, which then repeat in a lattice. Such a doubly periodic function cannot be holomorphic, as it would then be a bounded entire function, and by Liouville's theorem every such function must be constant.